Dergiler / Journal of Algebra Combinatorics Discrete Structures and Applications / 2017 / Cilt: 4 - Sayı: 2 (Special Issue: Noncommutative rings and their applications) #90794
Commuting probability for subrings and quotient rings
- Sayfa
- 189–196
- DOI
- —
Abstract
We prove that the commuting probability of a finite ring is no larger than the commuting probabilities of its subrings and quotients, and characterize when equality occurs in such a comparison.